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Finding the Fourth Proportional to 1,684.52, 2,324.70 and 928.33

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Solution

The fourth proportional to 1,684.52, 2,324.70 and 928.33 is: 1,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.52 : 2,324.70 = 928.33 : x
  2. Step 2: Convert to fraction form
    1,684.52/2,324.70 = 928.33/x
  3. Step 3: Cross multiply
    1,684.52x = 2,324.70 × 928.33
  4. Step 4: Simplify right side
    1,684.52x = 2,158,082.94
  5. Step 5: Solve for x
    x = 2,158,082.94/1,684.52
  6. Step 6: Final answer
    x = 1,281.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.